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Finding the Fourth Proportional to 1,250.66, 1,726.61 and 831.59

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Solution

The fourth proportional to 1,250.66, 1,726.61 and 831.59 is: 1,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.66 : 1,726.61 = 831.59 : x
  2. Step 2: Convert to fraction form
    1,250.66/1,726.61 = 831.59/x
  3. Step 3: Cross multiply
    1,250.66x = 1,726.61 × 831.59
  4. Step 4: Simplify right side
    1,250.66x = 1,435,831.53
  5. Step 5: Solve for x
    x = 1,435,831.53/1,250.66
  6. Step 6: Final answer
    x = 1,148.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.